Related Experiment Video
Updated: Aug 28, 2025
08:12
A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
Published on: March 1, 2022
2.6K
A new group decision-making framework based on 2-tuple linguistic complex q-rung picture fuzzy sets
Muhammad Akram1, Ayesha Khan1, Uzma Ahmad1
1Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan.
Mathematical Biosciences and Engineering : MBE
|September 20, 2022
Summary
This study introduces novel 2-tuple linguistic complex q-rung picture fuzzy sets (2TLCq-RPFSs) to handle complex decision-making. These sets enhance multi-attribute decision-making by integrating linguistic terms with advanced fuzzy set theory.
Area of Science:
- Decision Sciences
- Fuzzy Set Theory
- Computational Intelligence
Background:
- Multi-attribute decision-making (MADM) is increasingly complex.
- Existing models like complex q-rung picture fuzzy sets (Cq-RPFS) have limitations.
- Linguistic terms offer intuitive evaluation of qualitative data.
Purpose of the Study:
- Introduce the novel 2-tuple linguistic complex q-rung picture fuzzy sets (2TLCq-RPFSs).
- Develop aggregation operators for the new fuzzy set structure.
- Apply the framework to a practical MADM problem.
Main Methods:
- Definition of 2TLCq-RPFSs.
- Development of 2TLCq-RPF weighted averaging/geometric operators.
- Construction of Hamacher-based aggregation operators.
- Investigation of operator properties.
- Application to an optimal machine selection problem.
Main Results:
- The proposed 2TLCq-RPFS model effectively represents two-dimensional information.
- New aggregation operators demonstrate utility in MADM.
- A numerical example validates the practical applicability and effectiveness of the approach.
Conclusions:
- 2TLCq-RPFSs offer a superior framework for complex decision-making compared to Cq-RPFSs.
- The developed aggregation operators provide robust tools for MADM.
- The proposed methodology is effective for real-world decision problems.
Keywords:
2-tuple linguistic representation modelHamacher operatorsaccuracy functionaggregation functiondecision matrixMore Related Videos
Related Concept Videos
01:09Decision Making: P-value Method
5.6K
The process of hypothesis testing based on the P-value method includes calculating the P- value using the sample data and interpreting it.
First, a specific claim about the population parameter is proposed. The claim is based on the research question and is stated in a simple form. Further, an opposing statement to the claim is also stated. These statements can act as null and alternative hypotheses: a null hypothesis would be a neutral statement while the alternative hypothesis can...
First, a specific claim about the population parameter is proposed. The claim is based on the research question and is stated in a simple form. Further, an opposing statement to the claim is also stated. These statements can act as null and alternative hypotheses: a null hypothesis would be a neutral statement while the alternative hypothesis can...
5.6K
01:14Decision Making: Traditional Method
4.1K
The process of hypothesis testing based on the traditional method includes calculating the critical value, testing the value of the test statistic using the sample data, and interpreting these values.
First, a specific claim about the population parameter is decided based on the research question and is stated in a simple form. Further, an opposing statement to this claim is also stated. These statements can act as null and alternative hypotheses, out of which a null hypothesis would be a...
First, a specific claim about the population parameter is decided based on the research question and is stated in a simple form. Further, an opposing statement to this claim is also stated. These statements can act as null and alternative hypotheses, out of which a null hypothesis would be a...
4.1K
01:24Normal and Tangetial Components: Problem Solving
218
Consider a man with a mass of 70 kg seated in a chair connected to a pin support through a member BC. If the man maintains an upright position, the task is to determine the horizontal and vertical reactions of the chair on the man when the member makes a 45° angle with the horizontal. At this moment, the man has a speed of 5 m/s, increasing at a rate of 1 m/s².
218
01:34Woodward–Hoffmann Selection Rules and Microscopic Reversibility
3.2K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.2K
01:00Detection of Gross Error: The Q Test
6.4K
When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods...
6.4K
01:21Gestalt Principles of Perception
390
Gestalt principles provide a framework for understanding how humans perceive objects as unified wholes within their context. These principles are essential in explaining the cognitive processes that make sense of complex visual stimuli by organizing them into coherent groups. One fundamental principle is proximity, which posits that objects located close to each other are perceived as a collective group. For instance, when dots are positioned near one another, the visual system interprets them...
390